To solve the expression 3 + 3 × 6 ÷ 2, we need to follow the order of operations, which is often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).
First, we identify the operations in the expression:
- Addition: (+)
- Multiplication: (×)
- Division: (÷)
Following the order of operations, we first deal with the multiplication and the division from left to right:
- Calculate 3 × 6 = 18
- Now, replace in the expression: 3 + 18 ÷ 2
- Next, perform the division: 18 ÷ 2 = 9
- Now, the expression is: 3 + 9
Finally, we perform the addition:
- 3 + 9 = 12
Thus, the result of the expression 3 + 3 × 6 ÷ 2 is 12.